Anti-Diffusion Modeling using a Non-local Censored Random Walk Scheme

Amvrossios Bagtzoglou, Rachid Ababou & Amvrossios Bagtzoglou
This paper builds on the Reversed Time Particle Tracking Method of Bagtzoglou (2003) and presents a novel methodology for time reversal in groundwater transport simulations. The basis of the proposed scheme for anti-diffusion is a continuous time, censored, nonlocal random walk capable of tracking groundwater solute concentration profiles over time. Our analysis leads to the conclusion that an adaptive (decreasing) time-stepping scheme is necessary in order to maintain a constant amount of anti-diffusion. More specifically,...
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